TSTP Solution File: NUM494+3 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM494+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 11:30:54 EDT 2023
% Result : Theorem 10.14s 2.02s
% Output : CNFRefutation 10.14s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f285)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddCanc) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
fof(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonAdd) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f43,axiom,
( xr = sdtmndt0(xn,xp)
& xn = sdtpldt0(xp,xr)
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1883) ).
fof(f44,axiom,
( sdtlseqdt0(xr,xn)
& ? [X0] :
( xn = sdtpldt0(xr,X0)
& aNaturalNumber0(X0) )
& xn != xr ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1894) ).
fof(f46,conjecture,
( ( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ? [X0] :
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X0)
& aNaturalNumber0(X0) ) )
& sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xr,xm),xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f47,negated_conjecture,
~ ( ( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ? [X0] :
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X0)
& aNaturalNumber0(X0) ) )
& sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xr,xm),xp) ),
inference(negated_conjecture,[],[f46]) ).
fof(f52,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f53,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f52]) ).
fof(f69,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f70,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f69]) ).
fof(f82,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f83,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f82]) ).
fof(f86,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f87,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f86]) ).
fof(f88,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f89,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f88]) ).
fof(f120,plain,
( ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
& ! [X0] :
( sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X0)
| ~ aNaturalNumber0(X0) ) )
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xr,xm),xp) ),
inference(ennf_transformation,[],[f47]) ).
fof(f159,plain,
( ? [X0] :
( xn = sdtpldt0(xr,X0)
& aNaturalNumber0(X0) )
=> ( xn = sdtpldt0(xr,sK12)
& aNaturalNumber0(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
( sdtlseqdt0(xr,xn)
& xn = sdtpldt0(xr,sK12)
& aNaturalNumber0(sK12)
& xn != xr ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f44,f159]) ).
fof(f166,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f181,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f194,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f197,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f201,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f231,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f232,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f233,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f261,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f43]) ).
fof(f264,plain,
xn != xr,
inference(cnf_transformation,[],[f160]) ).
fof(f267,plain,
sdtlseqdt0(xr,xn),
inference(cnf_transformation,[],[f160]) ).
fof(f272,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xr,xm),xp) ),
inference(cnf_transformation,[],[f120]) ).
cnf(c_52,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f166]) ).
cnf(c_66,plain,
( sdtpldt0(X0,X1) != sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X0 = X2 ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_80,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f194]) ).
cnf(c_82,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ),
inference(cnf_transformation,[],[f197]) ).
cnf(c_83,plain,
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f285]) ).
cnf(c_84,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X0 = X1
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f201]) ).
cnf(c_116,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f233]) ).
cnf(c_117,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f232]) ).
cnf(c_118,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f231]) ).
cnf(c_148,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f261]) ).
cnf(c_149,plain,
sdtlseqdt0(xr,xn),
inference(cnf_transformation,[],[f267]) ).
cnf(c_152,plain,
xn != xr,
inference(cnf_transformation,[],[f264]) ).
cnf(c_156,negated_conjecture,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xr,xm),xp) ),
inference(cnf_transformation,[],[f272]) ).
cnf(c_7462,plain,
X0 = X0,
theory(equality) ).
cnf(c_7464,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_7468,plain,
( X0 != X1
| X2 != X3
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X0,X2) ),
theory(equality) ).
cnf(c_9093,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) != X0
| sdtpldt0(sdtpldt0(xr,xm),xp) != X1
| ~ sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(instantiation,[status(thm)],[c_7468]) ).
cnf(c_9189,plain,
( ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ aNaturalNumber0(xp)
| aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp)) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_9200,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sdtpldt0(xr,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(xr,xm),xp) = X0 ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_9217,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) != X0
| sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xr,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),X0)
| sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(instantiation,[status(thm)],[c_9093]) ).
cnf(c_9222,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xp)
| aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_9386,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_9389,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_9634,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xr,xm),xp)
| sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xr,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xr,xm),xp))
| sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(instantiation,[status(thm)],[c_9217]) ).
cnf(c_9720,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xr,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
| sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xr,xm),xp) ),
inference(instantiation,[status(thm)],[c_9200]) ).
cnf(c_10698,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
| sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xr,xm),xp)) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_10869,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_13093,plain,
( X0 != X1
| X1 = X0 ),
inference(resolution,[status(thm)],[c_7464,c_7462]) ).
cnf(c_35961,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ aNaturalNumber0(xp)
| sdtpldt0(xn,xm) = sdtpldt0(xr,xm) ),
inference(resolution,[status(thm)],[c_66,c_156]) ).
cnf(c_35988,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(xn,xm) = sdtpldt0(xr,xm) ),
inference(global_subsumption_just,[status(thm)],[c_35961,c_148,c_118,c_117,c_116,c_9386,c_9389,c_35961]) ).
cnf(c_36415,plain,
( ~ sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ aNaturalNumber0(xp)
| sdtpldt0(xn,xm) = sdtpldt0(xr,xm)
| sdtpldt0(xr,xm) = sdtpldt0(xn,xm) ),
inference(resolution,[status(thm)],[c_84,c_35988]) ).
cnf(c_36489,plain,
( ~ sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
| sdtpldt0(xn,xm) = sdtpldt0(xr,xm)
| sdtpldt0(xr,xm) = sdtpldt0(xn,xm) ),
inference(global_subsumption_just,[status(thm)],[c_36415,c_148,c_118,c_117,c_116,c_9386,c_9389,c_36415]) ).
cnf(c_36494,plain,
( ~ sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
| sdtpldt0(xr,xm) = sdtpldt0(xn,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36489,c_13093]) ).
cnf(c_36817,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(resolution,[status(thm)],[c_13093,c_156]) ).
cnf(c_36827,plain,
( ~ sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
| sdtpldt0(xn,xm) = sdtpldt0(xr,xm) ),
inference(resolution,[status(thm)],[c_13093,c_36494]) ).
cnf(c_38094,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ aNaturalNumber0(xp)
| sdtpldt0(xr,xm) = sdtpldt0(xn,xm) ),
inference(resolution,[status(thm)],[c_36817,c_66]) ).
cnf(c_39618,plain,
( ~ sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ aNaturalNumber0(xp)
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xr,xm),xp)
| sdtpldt0(xn,xm) = sdtpldt0(xr,xm) ),
inference(superposition,[status(thm)],[c_84,c_156]) ).
cnf(c_39648,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(xr,xm) = sdtpldt0(xn,xm) ),
inference(global_subsumption_just,[status(thm)],[c_38094,c_148,c_118,c_117,c_116,c_9386,c_9389,c_38094]) ).
cnf(c_40077,plain,
( ~ sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ aNaturalNumber0(xp)
| sdtpldt0(xr,xm) = sdtpldt0(xn,xm) ),
inference(resolution,[status(thm)],[c_39648,c_84]) ).
cnf(c_41340,plain,
( ~ sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
| sdtpldt0(xn,xm) = sdtpldt0(xr,xm) ),
inference(global_subsumption_just,[status(thm)],[c_39618,c_36827]) ).
cnf(c_41342,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| sdtpldt0(xn,xm) = sdtpldt0(xr,xm)
| sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_82,c_41340]) ).
cnf(c_41344,plain,
( ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| sdtpldt0(xn,xm) = sdtpldt0(xr,xm)
| xn = xr ),
inference(superposition,[status(thm)],[c_84,c_41340]) ).
cnf(c_41476,plain,
sdtpldt0(xn,xm) = sdtpldt0(xr,xm),
inference(global_subsumption_just,[status(thm)],[c_41342,c_148,c_118,c_117,c_149,c_152,c_41344]) ).
cnf(c_41518,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xr,xm),xp) ),
inference(superposition,[status(thm)],[c_41476,c_156]) ).
cnf(c_43618,plain,
sdtpldt0(xr,xm) = sdtpldt0(xn,xm),
inference(global_subsumption_just,[status(thm)],[c_40077,c_148,c_118,c_117,c_116,c_9189,c_9222,c_9386,c_9389,c_9634,c_9720,c_10698,c_10869,c_38094,c_41518]) ).
cnf(c_43627,plain,
sdtpldt0(xn,xm) = sdtpldt0(xr,xm),
inference(resolution,[status(thm)],[c_43618,c_13093]) ).
cnf(c_43699,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| xn = xr ),
inference(resolution,[status(thm)],[c_43627,c_66]) ).
cnf(c_43700,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_43699,c_152,c_117,c_118,c_148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM494+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10 % Command : run_iprover %s %d THM
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri Aug 25 15:25:28 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.14/0.38 Running first-order theorem proving
% 0.14/0.38 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 10.14/2.02 % SZS status Started for theBenchmark.p
% 10.14/2.02 % SZS status Theorem for theBenchmark.p
% 10.14/2.02
% 10.14/2.02 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 10.14/2.02
% 10.14/2.02 ------ iProver source info
% 10.14/2.02
% 10.14/2.02 git: date: 2023-05-31 18:12:56 +0000
% 10.14/2.02 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 10.14/2.02 git: non_committed_changes: false
% 10.14/2.02 git: last_make_outside_of_git: false
% 10.14/2.02
% 10.14/2.02 ------ Parsing...
% 10.14/2.02 ------ Clausification by vclausify_rel & Parsing by iProver...
% 10.14/2.02
% 10.14/2.02 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 10.14/2.02
% 10.14/2.02 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.14/2.02
% 10.14/2.02 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.14/2.02 ------ Proving...
% 10.14/2.02 ------ Problem Properties
% 10.14/2.02
% 10.14/2.02
% 10.14/2.02 clauses 104
% 10.14/2.02 conjectures 2
% 10.14/2.02 EPR 31
% 10.14/2.02 Horn 66
% 10.14/2.02 unary 27
% 10.14/2.02 binary 12
% 10.14/2.02 lits 369
% 10.14/2.03 lits eq 109
% 10.14/2.03 fd_pure 0
% 10.14/2.03 fd_pseudo 0
% 10.14/2.03 fd_cond 22
% 10.14/2.03 fd_pseudo_cond 11
% 10.14/2.03 AC symbols 0
% 10.14/2.03
% 10.14/2.03 ------ Input Options Time Limit: Unbounded
% 10.14/2.03
% 10.14/2.03
% 10.14/2.03 ------
% 10.14/2.03 Current options:
% 10.14/2.03 ------
% 10.14/2.03
% 10.14/2.03
% 10.14/2.03
% 10.14/2.03
% 10.14/2.03 ------ Proving...
% 10.14/2.03
% 10.14/2.03
% 10.14/2.03 % SZS status Theorem for theBenchmark.p
% 10.14/2.03
% 10.14/2.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.14/2.03
% 10.14/2.03
%------------------------------------------------------------------------------